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Finding the Fourth Proportional to 64,209, 88,608.42 and 41,853

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Solution

The fourth proportional to 64,209, 88,608.42 and 41,853 is: 57,757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,209 : 88,608.42 = 41,853 : x
  2. Step 2: Convert to fraction form
    64,209/88,608.42 = 41,853/x
  3. Step 3: Cross multiply
    64,209x = 88,608.42 × 41,853
  4. Step 4: Simplify right side
    64,209x = 3,708,528,202.26
  5. Step 5: Solve for x
    x = 3,708,528,202.26/64,209
  6. Step 6: Final answer
    x = 57,757.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.